ω -Conway semirings and ω-inductive~*-semirings
Tingting Li · Basic Sciences Journal of Textile Universities · 2011
The concepts of ω-Conway semirings and ω-inductive*-semirings are introduced,and their properties are studied.It is obtained that ω-inductive*-semirings are ω-Conway semirings.The semirings of formal power series of ω-inductive*-semirings are discussed.It is proved that the matrix semirings of ω-Conway semirings(ω-inductive*-semirings) are also ω-Conway semirings(ω-inductive*-semirings).